Home / 204,823.84-282,656.24-114,178.80

Finding the Fourth Proportional to 204,823.84, 282,656.24 and 114,178.80

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Solution

The fourth proportional to 204,823.84, 282,656.24 and 114,178.80 is: 157,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,823.84 : 282,656.24 = 114,178.80 : x
  2. Step 2: Convert to fraction form
    204,823.84/282,656.24 = 114,178.80/x
  3. Step 3: Cross multiply
    204,823.84x = 282,656.24 × 114,178.80
  4. Step 4: Simplify right side
    204,823.84x = 32,273,350,295.71
  5. Step 5: Solve for x
    x = 32,273,350,295.71/204,823.84
  6. Step 6: Final answer
    x = 157,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.